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3 years ago

7(x–1)–5(x–1)=22 ertyuu

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

7(x-1)-5(x-1)= 22

7x-7-5x+5= 22

7x-5x-7+5 = 22

2x-2= 22

2x = 22+2

2x = 24

x = 24/2

x = 12

Step-by-step explanation:

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A survey of 100 similar-sized hospitals revealed a mean daily census in the pediatrics service of 27 with a standard deviation o

Vinil7 [7]

Answer:

We conclude that the mean is greater than 25.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 25

Sample mean, $\bar{x}$ = 27

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 6.5

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 25\\H_A: \mu> 25$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{27 - 25}{\frac{6.5}{\sqrt{100}} } = 3.07$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.645$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, the mean is greater than 25.

3 0

3 years ago

A = 3 and c = 12 c/a =

Bess [88]

Answer:

4, because 12/3 is 4 cause 3×4=12

3 0

2 years ago

Please help, I need Answers quickly.

Deffense [45]

Add 6.5 to both sides

D=-0.7

A

8 0

3 years ago

Read 2 more answers

5.The ratio of the age of a mother and her son is 5:2. If the

Andreyy89

Answer:

The age of mother is:

40 years

Step-by-step explanation:

2a = 5b

b = 16

a = age of a mother

b = age of her son

2a = 5*16

2a = 80

a = 80/2

a = 40

probe:

2*40 = 5*16 = 80

5 0

3 years ago

What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
$\frac{x^{2} - 126}{x} = -65$
$-65x = x^{2} - 126$
$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
  1.9 + y = -65
- 1.9   - 1.9
y = -66.9
  (x, y) = (1.9, -66.9)

or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

3 0

3 years ago